Document Type

Article

Publication Date

1980

Keywords

Sound--Measurement, Sound--Speed, Special relativity (Physics)

Abstract

Fundamental energy relations are explored as a basis for the measurement of physical systems. By considering finite dimensional observations in linear Hilbert space it is shown that a necessary and sufficient condition for the conservation of energy is the partitioning of any observation of that energy into two components which will be related through the Hilbert transform. The consequence of this relationship is demonstrated for the equilibrium storage of energy, point-wave duality in measurements, significance of complex representations involving circular form, the meaning of minimum phase and all-pass properties, and the introduction of new measurement characterizations such as the energy-time curve.

Comments

This item is part of the Richard C. Heyser collection at the College Archives & Special Collections department of Columbia College Chicago. Contact archives@colum.edu for more information and to view the collection.

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